Marital name changing. Refer to the Advances in Applied Sociology (Nov. 2013) study of marital name changing, Exercise 4.78

(p. 241). According to the study, the probability that an American female will change her last name upon marriage is .9. Consider a sample of 250 American females. Let pn represent the proportion of those females who change their last name upon marriage.

a. Find the mean and standard deviation of pn.

b. Calculate the interval, E1pn 2 { 2spn .

c. If samples of 250 American females are drawn repeatedly a large number of times and the sample proportion, pn, determined for each sample, what proportion of the pn values will fall within the interval, part b?